https://en.xen.wiki/index.php?action=history&feed=atom&title=User%3ABudjarnLambeth%2FGoldfish 2026-06-30T07:22:44Z Revision history for this page on the wiki MediaWiki 1.43.6 https://en.xen.wiki/index.php?title=User:BudjarnLambeth/Goldfish&diff=195611&oldid=prev 2025-05-07T03:00:41Z

<p>BudjarnLambeth moved page <a href="/w/Goldfish" class="mw-redirect" title="Goldfish">Goldfish</a> to <a href="/w/User:BudjarnLambeth/Goldfish" title="User:BudjarnLambeth/Goldfish">User:BudjarnLambeth/Goldfish</a></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <tr class="diff-title" lang="en"> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 03:00, 7 May 2025</td> </tr><tr><td colspan="2" class="diff-notice" lang="en"><div class="mw-diff-empty">(No difference)</div> </td></tr></table>

BudjarnLambeth https://en.xen.wiki/index.php?title=User:BudjarnLambeth/Goldfish&diff=157055&oldid=prev 2024-09-30T09:46:48Z

<p>Described a (slightly silly) scale</p> <p><b>New page</b></p><div>{{novelty}}<br /> The &#039;&#039;&#039;goldfish scale&#039;&#039;&#039; is a 7-tone [[MOS scale]].<br /> <br /> It is a specific case of the fish scale (the 2|4 mode of [[3L 4s]]).<br /> <br /> In the goldfish scale, the ratio of step sizes L:s is equal to the [[golden ratio]] (1.6180339887...:1)<br /> <br /> The goldfish scale occurs within the golden [[suhajira]] temperament.<br /> <br /> == List of intervals ==<br /> <br /> It is impossible to provide a numerical list of intervals for the &#039;pure&#039; goldfish scale, but here is a list of intervals for the [[788edo]] goldfish scale, which is indistinguishably close, for most intents and purposes:<br /> * 44.162 (29\788)<br /> * 385.279 (253\788)<br /> * 429.442 (282\788)<br /> * 770.558 (506\788)<br /> * 814.721 (535\788)<br /> * 858.883 (564\788)<br /> * 1200.000 (788\788)<br /> <br /> == Modes ==<br /> <br /> Rotating the goldfish scale gives the following [[mode]]s (in order of rotation):<br /> * Goldgill (5|1)<br /> * Goldjewel (1|5)<br /> * Goldteeth (4|2)<br /> * Gold LED (0|6)<br /> * Goldbish (3|3)<br /> * Golddrill (6|0)<br /> Based on the mode names by [[Andrew Heathwaite]] but modified slightly to fit the humorous nature of this scale&#039;s title.<br /> <br /> == Supporting EDOs ==<br /> <br /> [[EDO]]s that support goldfish are any EDOs which contain exactly this number of steps:<br /> <br /> n(4f)+n(3g)<br /> <br /> Where f is a Fibonacci number and g is the next Fibonacci number after f. And n can be any number.<br /> <br /> No EDOs include the &#039;pure&#039; goldfish scale, but the approximations get increasingly accurate with increasingly large values of f.<br /> <br /> You can calculate a list of optimal EDOs for the goldfish scale using the formula 4x+3(((1+sqrt(5))/2)x)) where x is a fibonacci number... This gives EDOs: {{EDOs|9, 18, 27, 44, 71, 115, 185, 301, 486, 788}}...<br /> <br /> == Trivia ==<br /> [[Budjarn Lambeth]] described the goldfish scale after observing an interaction between the wiki editors, on the Xenharmonic Alliance Discord server: <br /> <br /> [[User:Lériendil|Lériendil]] informed the Discord that they had just completed the page on the [[sensamagic-gariboh equivalence continuum]]. [[User:CompactStar|CompactStar]] noted that he had initially misread the title as “sensamagic-&#039;&#039;goldfish&#039;&#039; equivalence continuum”, possibly due to the multiple “spog” reactions on Lériendil‘s post (an emote which indicates genuine approval, but in a somewhat playful and whimsical manner).<br /> [[Category:7-tone scales]][[Category:Tempered scales]][[Category:Suhajira]][[Category:Mosh]]</div>

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